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Finding the Third Proportional to 413,748 and 602,640

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Solution

The third proportional to 413,748 and 602,640 is: 877,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,748 : 602,640 = 602,640 : x
  2. Step 2: Convert to fraction form
    413,748/602,640 = 602,640/x
  3. Step 3: Cross multiply
    413,748x = 602,640 × 602,640
  4. Step 4: Simplify right side
    413,748x = 363,174,969,600
  5. Step 5: Solve for x
    x = 363,174,969,600/413,748
  6. Step 6: Final answer
    x = 877,768.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.